Uncertainty Quantification of Self-Breakdown Switches in a Circuit Model Using Wiener–Haar Expansion

Simulation of a non‐linear, time‐variant circuit using the Haar wavelet transform

“…The usefulness and simplicity of this approach in load modelling were showcased as linear, non-linear and time-variant components can thus be transformed using the same principles as the widely known Laplace transform, as shown in Equations ( 16)- (18). The intricacy of a forward and inverse Laplace transform of a non-linear, time-variant system is effectively circumvented.…”

“…A transient response, related to the inductance of the braking resistor, is evident as its steady-state peak I s (orange) is gradually reached. For comparison, calculation using the conventional method is also depicted (black) input voltage) divided by impedance, similar to Equation (18). Then, the inverse Laplace transform of this current is the current of the braking resistor in the time plane.…”

“…network analysers and oscilloscopes) or education remains yet a slowly progressing aspect. Indicative recent advances are in applications such as digital audio signal processing [16], reactive elements circuit analysis [17], time-variant circuits [18,19], fault detection in linear circuits [20] and promising theoretical analyses such as the work by Ratas et al [21] for solving non-linear boundary values. Finally, a more complete summary of wavelet types and transforms as well as modern concepts and applications can be found in works such as the book by Akujuobi [22].…”